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Finding the Third Proportional to 8.88 and 16.42

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Solution

The third proportional to 8.88 and 16.42 is: 30.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.88 : 16.42 = 16.42 : x
  2. Step 2: Convert to fraction form
    8.88/16.42 = 16.42/x
  3. Step 3: Cross multiply
    8.88x = 16.42 × 16.42
  4. Step 4: Simplify right side
    8.88x = 269.52
  5. Step 5: Solve for x
    x = 269.52/8.88
  6. Step 6: Final answer
    x = 30.36

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.